A new balance index for phylogenetic trees

@article{Mir2013ANB,
  title={A new balance index for phylogenetic trees},
  author={Arnau Mir and Francesc Rossell{\'o} and Luc{\'i}a Rotger},
  journal={Mathematical biosciences},
  year={2013},
  volume={241 1},
  pages={
          125-36
        }
}
Extremal properties of the Colless balance index for rooted binary trees
TLDR
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A balance index for phylogenetic trees based on quartets
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Squaring within the Colless index yields a better balance index
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TLDR
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On the minimum value of the Colless index and the bifurcating trees that achieve it
TLDR
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Extremal values of the Sackin balance index for rooted binary trees
TLDR
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Extremal Values of the Sackin Tree Balance Index
TLDR
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Robust, Universal Tree Balance Indices
TLDR
A new class of robust, universal tree balance indices are defined that take a form similar to Colless’ index but account for node sizes, are defined for trees with any degree distribution, and enable more meaningful comparison of trees with different numbers of leaves.
A new resolution function to evaluate tree shape statistics
TLDR
A new resolution function to evaluate the power of different tree shape statistics to distinguish between dissimilar trees is proposed and it is shown that the newresolution function requires less time and space in comparison with the previously proposed resolution function.
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